3 years ago

4. What is the median in this set of numbers? 5, 1, 2, 8, 9* Ο 5 οοοο

Mathematics

1 answer:

muminat3 years ago

5 0

Answer:

Step-by-step explanation:

Arrange the numbers from smallest to largest

1,2,5,8,9

The middle number is the median

5 is the middle number

5 is the median

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Step-by-step explanation:

Let x = smaller number , y= larger number.

As per given,

$x=\dfrac{y}{3}$ ...(i)

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Put value of x from (i) in (ii)

$\dfrac{y}{3}+y=y^2-5\\\\\Rightarrow\ \dfrac43y=y^2-5\\\\\Rightarrow\ 3y^2-4y-15=0\\\\\Rightarrow\ 3y^2-9y+5y-15=0\\\\\Rightarrow\ 3y(y-3)+5(y-3)=0\\\\\Rightarrow\ (y-3)(3y+5)=0\\\\\Rightarrow\ y=3 \ \ or\ y=\dfrac{-5}{3}$

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And x will be 1 [from (i)]

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Step-by-step explanation:

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